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The Scattering amplitude for one parameter family of shape invariant potentials related to Xm Jacobi polynomials

We consider the recently discovered, one parameter family of exactly solvable shape invariant potentials which are isospectral to the generalized Pöschl-Teller potential. By explicitly considering the asymptotic behaviour of the Xm Jacobi polynomials associated with this system (m = 1, 2, 3, ...), the scattering amplitude for the one parameter family of potentials is calculated explicitly.

preprint2013arXivOpen access
Rajesh Kumar YadavAvinash KhareBhabani Prasad Mandala
math-phmath.MPhep-thquant-ph
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Rajesh Kumar YadavAvinash KhareBhabani Prasad Mandala

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